#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <stack>
#include <map>
#include <queue>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <cstring>
#include <cmath>
#include <functional>
#include <cassert>
#include <iomanip>
#include <numeric>
#include <bitset>
#include <sstream>
#include <chrono>
#include <random>
#define ff first
#define ss second
#define PB push_back
#define sz(x) int(x.size())
#define rsz resize
#define fch(xxx, yyy) for (auto xxx : yyy) // abusive notation
#define all(x) (x).begin(),(x).end()
#define eps 1e-9
// more abusive notation (use at your own risk):
//#define int ll
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;
// debugging
void __print(int x) {std::cerr << x;}
void __print(ll x) {std::cerr << x;} /* remember to uncomment this when not using THE MACRO */
void __print(unsigned x) {std::cerr << x;}
void __print(ull x) {std::cerr << x;}
void __print(float x) {std::cerr << x;}
void __print(double x) {std::cerr << x;}
void __print(ld x) {std::cerr << x;}
void __print(char x) {std::cerr << '\'' << x << '\'';}
void __print(const char *x) {std::cerr << '\"' << x << '\"';}
void __print(const string& x) {std::cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V> void __print(const pair<T, V> &x) {std::cerr << '{'; __print(x.ff); std::cerr << ", "; __print(x.ss); std::cerr << '}';}
template<typename T> void __print(const T& x) {int f = 0; std::cerr << '{'; for (auto &i: x) std::cerr << (f++ ? ", " : ""), __print(i); std::cerr << "}";}
void _print() {std::cerr << "]\n";}
template <typename T, typename... V> void _print(T t, V... v) {__print(t); if (sizeof...(v)) std::cerr << ", "; _print(v...);}
void println() {std::cerr << ">--------------------<" << endl;}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
// templates
template <class T> bool ckmin(T &a, const T &b) {return b<a ? a = b, 1 : 0;}
template <class T> bool ckmax(T &a, const T &b) {return b>a ? a = b, 1 : 0;}
template <class T> using gr = greater<T>;
template <class T> using vc = vector<T>;
template <class T> using p_q = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vc<T>, gr<T>>;
template <class T1, class T2> using pr = pair<T1, T2>;
mt19937_64 rng_ll(chrono::steady_clock::now().time_since_epoch().count());
int rng(int M) {return (int)(rng_ll()%M);} /*returns any random number in [0, M) */
// const variables
constexpr int INF = (int)2e9;
constexpr int MOD = 998244353;
constexpr ll LL_INF = (ll)3e18;
constexpr int mod = (int)1e9 + 7;
constexpr ll inverse = 500000004LL; // inverse of 2 modulo 1e9 + 7
void setIO(const string& str) {// fast input/output
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
if (str.empty()) return;
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
int findSwapPairs(int N, int* s, int M, int* x, int* y, int* p, int* q) {
vc<pii> ans;
int l = 1, r = M;
while (l < r) {
int mid = (l + r)/2;
vi v(N);
for (int i = 0; i < N; ++i) {
v[i] = s[i];
}
for (int i = 0; i < mid; ++i) {
swap(v[x[i]], v[y[i]]); // swapping the apples
}
set<pii> st;
for (int i = 0; i < N; ++i) {
st.insert({v[i], i});
}
int moves = 0;
vc<pii> ops;
for (int i = 0; i < N; ++i) {
int index = (*st.begin()).ss;
if (index != i) {
ops.PB({index, i}); // swapping the plates
st.erase({v[i], i});
st.insert({v[i], index});
swap(v[i], v[index]);
moves++;
}
st.erase(st.begin());
}
reverse(all(ops));
if (moves <= mid) {
ans = ops;
r = mid;
} else {
l = mid + 1;
}
}
vi v(N);
for (int i = 0; i < N; ++i) {
v[i] = s[i];
}
for (int i = 0; i < r; ++i) {
swap(v[x[i]], v[y[i]]); // swapping the apples
}
set<pii> st;
for (int i = 0; i < N; ++i) {
st.insert({v[i], i});
}
for (int i = 0; i < N; ++i) {
int index = (*st.begin()).ss;
if (index != i) {
ans.PB({index, i}); // swapping the plates
st.erase({v[i], i});
st.insert({v[i], index});
swap(v[i], v[index]);
moves++;
}
st.erase(st.begin());
}
reverse(all(ans));
while (sz(ans) < r) {
ans.PB({0, 0});
}
vi idx(N), v(N);
for (int i = 0; i < N; ++i) {
idx[s[i]] = i;
v[i] = s[i];
}
for (int i = 0; i < r; ++i) {
swap(v[x[i]], v[y[i]]);
}
for (int i = 0; i < r; ++i) {
swap(idx[s[x[i]]], idx[s[y[i]]]);
swap(s[x[i]], s[y[i]]);
p[i] = idx[v[ans[i].ff]], q[i] = idx[v[ans[i].ss]];
swap(idx[s[p[i]]], idx[s[q[i]]]);
swap(s[p[i]], s[q[i]]);
}
return r;
}
/*
int N, M;
int S[10];
int x[10], y[10];
int p[10], q[10];
FAILING TEST CASE:
11
8 1 3 9 5 10 6 4 2 7 0
11
0 3
6 2
9 8
3 10
0 6
7 9
10 1
0 6
0 10
4 8
3 4
*/
/*
signed main() { // TIME YOURSELF !!!
setIO("");
int T = 50000;
while (T--) {
N = rng(11) + 1;
vi s(N);
iota(all(s), 0);
unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
shuffle(s.begin(), s.end(), default_random_engine(seed));
for (int i = 0; i < N; ++i) {
S[i] = s[i];
}
memset(x, 0, sizeof(x));
memset(y, 0, sizeof(y));
memset(p, 0, sizeof(p));
memset(q, 0, sizeof(q));
M = N;
for (int i = 0; i < M; ++i) {
x[i] = rng(N), y[i] = rng(N);
}
int ans = findSwapPairs(N, S, M, x, y, p, q);
for (int i = 0; i < N; ++i) {
S[i] = s[i];
}
for (int i = 0; i < ans; ++i) {
swap(S[x[i]], S[y[i]]);
swap(S[p[i]], S[q[i]]);
}
for (int i = 0; i < N; ++i) {
if (i && S[i] < S[i-1]) {
debug(N, M);
for (int j = 0; j < N; ++j) {
cerr << S[j] << ' ';
}
cerr << '\n';
for (int j = 0; j < M; ++j) {
cerr << x[j] << ' ' << y[j] << '\n';
}
cerr << "NOOOOOOO. Solution fails: \n";
debug(ans);
for (int j = 0; j < ans; ++j) {
debug(j, p[j], q[j]);
}
return 0;
}
}
}
return 0;*/
/*
cin >> N;
vi s(N);
for (int i = 0; i < N; ++i) {
cin >> S[i];
s[i] = S[i];
}
cin >> M;
for (int i = 0; i < M; ++i) {
cin >> x[i] >> y[i];
}
int ans = findSwapPairs(N, S, M, x, y, p, q);
debug(ans);
debug(s);
for (int i = 0; i < ans; ++i) {
debug(i);
debug(x[i], y[i]);
debug(s);
swap(s[x[i]], s[y[i]]);
debug(s);
debug(p[i], q[i]);
debug(s);
swap(s[p[i]], s[q[i]]);
debug(s);
}
return 0;
}
*/
// TLE -> TRY NOT USING DEFINE INT LONG LONG
// CE -> CHECK LINE 45
// 5000 * 5000 size matrices are kinda big (potential mle)
// Do something, start simpler
Compilation message
sorting.cpp: In function 'int findSwapPairs(int, int*, int, int*, int*, int*, int*)':
sorting.cpp:148:13: error: 'moves' was not declared in this scope
148 | moves++;
| ^~~~~
sorting.cpp:156:16: error: redeclaration of 'vi v'
156 | vi idx(N), v(N);
| ^
sorting.cpp:130:8: note: 'vi v' previously declared here
130 | vi v(N);
| ^
sorting.cpp: In function 'void setIO(const string&)':
sorting.cpp:88:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
88 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
sorting.cpp:89:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
